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Finding the Fourth Proportional to 259.23, 388.91 and 76.63

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Solution

The fourth proportional to 259.23, 388.91 and 76.63 is: 114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.23 : 388.91 = 76.63 : x
  2. Step 2: Convert to fraction form
    259.23/388.91 = 76.63/x
  3. Step 3: Cross multiply
    259.23x = 388.91 × 76.63
  4. Step 4: Simplify right side
    259.23x = 29,802.17
  5. Step 5: Solve for x
    x = 29,802.17/259.23
  6. Step 6: Final answer
    x = 114.96

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